A solid sphere of radius r and mass m rolls

A Spherical hole of radius $\large\frac{R}{2}$ is made in a solid sphere of radius R. The mass of the sphere before hollowing was M. The gravitational field at the center of the hole due to the remaining mass is Let us consider a thin solid sphere of radius (x \ [-\] r). Mass of the sphere, \ [dm = \frac {m} {\left ( \frac {4} {3} \right)\pi r^3} \times \frac {4} {3}\pi (x - r )^3 = \frac {m (x - r )^3} {r^3}\] Then the gravitational force on the particle due to the solid sphere is given by. \ [F = \frac {Gm' dm} { (x - r )^2}\] Moment of inertia of a solid sphere of mass M and radius R is (2/5)MR 2 Related Questions & Answers Aerobic Respiration Requires The Presence Of Fill In The Blank Radius, diameter and circumference. The radius of Earth at the equator is 3,963 miles (6,378 kilometers), according to NASA's Goddard Space Flight However, Earth is not quite a sphere. Density, mass and volume. Earth's density is 5.513 grams per cubic centimeter, according to NASA.

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A uniform, solid sphere of radius 6.00 cm and mass 4.50 kg starts with a purely translational speed of 2.50 m/s at the top of an inclined plane. The surface of the incline is 2.00 m long, and is tilted at an angle of 32.0∘ with respect to the horizontal. Assuming the sphere rolls without...

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Q.12 A solid sphere of radius 3R, a solid disc of radius 2R and a ring of radius R (all are of mass m) roll down a rough inclined plane. Their acclerations are a,b and c respectively. Find the ratio of a b and b c. Q.13 A uniform disc of radius 1m and mass 2kg is mounted on an axle supported on fixed frictionless bearings. A solid sphere of radius R has a uniform charge density ρ and total charge Q. Derive an expression for its total electric potential energy. (Suggestion: imagine that the sphere is constructed by adding successive layers of concentric shells of charge dq = (4πr2dr)ρand use dU = V dq).We have three objects, a solid disk, a ring, and a solid sphere, all with the same mass, M and radius, R. If we release them from rest at the top of an incline, which object will win the race? Assume the objects roll down the ramp without slipping. 1. The sphere 2. The ring 3. The disk 4. It’s a three-way tie 5.


A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains I. Then, radius of the disc will be . Options (a) 2R/√15 (b) R√2/15 (c) 4R/√15 (d ... 1 day ago · A solid and homogeneous sphere, of mass M and radius R, is initially at rest in a vertical position (0 = 0) protruding from the edge of a platform, it begins to tip from the unstable equilibrium position, rotating around the edge A of the corner. Determine the angle when the block loses contact with the platform.

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A block of mass m slides down an inclined plane as shown in the figure

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